11301202310004 has 288 divisors, whose sum is σ = 29585618899200. Its totient is φ = 3636032716800.

The previous prime is 11301202309997. The next prime is 11301202310009. The reversal of 11301202310004 is 40001320210311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301202310009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15292560267 + ... + 15292561005.

It is an arithmetic number, because the mean of its divisors is an integer number (102727843400).

Almost surely, 2^{11301202310004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11301202310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792809449600).

11301202310004 is an abundant number, since it is smaller than the sum of its proper divisors (18284416589196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11301202310004 is a wasteful number, since it uses less digits than its factorization.

11301202310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11301202310004 its reverse (40001320210311), we get a palindrome (51302522520315).

The spelling of 11301202310004 in words is "eleven trillion, three hundred one billion, two hundred two million, three hundred ten thousand, four".